Explanation Show the free-body diagram of the entire beam as in Figure 1. Determine the vertical reaction at point B by taking moment about point A . ∑ M A = 0 B y ( 6 ) − 200 × 10 × 10 2 − 300 ( 10 ) + 200 × 4 × 4 2 + 300 ( 4 ) = 0 6 B y − 10 , 000 − 3 , 000 + 1 , 600 + 1 , 200 = 0 B y = 1 , 700 lb Determine the vertical reaction at point A by resolving the vertical component of forces. ∑ F y = 0 A y + B y − 300 − 300 − 200 × 4 − 200 × 10 = 0 A y + 1 , 700 − 600 − 800 − 2 , 000 = 0 A y = 1 , 700 lb Determine the horizontal reaction at point B by resolving the horizontal component of forces. ∑ F x = 0 B x = 0 Show the calculation of shear force values as follows: Shear force at x = 0 : V | x = 0 ( Just left ) = 0 V | x = 0 ( Just right ) = 300 lb Shear force at x = 4 ft : V | x = 4 ft ( Just left ) = − 300 − 200 × 4 = − 1 , 100 lb V | x = 4 ft ( Just right ) = − 1 , 100 + A y = − 1 , 100 + 1 , 700 = 600 lb Shear force at x = 10 ft : V | x = 10 ft ( Just left ) = 600 − 200 × 6 = − 600 lb V | x = 10 ft ( Just right ) = − 600 + B y = − 600 + 1 , 700 = 1 , 100 lb Shear force at x = 14 ft : V | x = 14 ft ( Just left ) = 1 , 100 − 200 × 4 = 300 lb V | x = 14 ft ( Just right ) = 300 − 300 = 0 Show the calculated shear force values as in Table (1)

Statics and Mechanics of Materials (5th Edition)

5th Edition

ISBN: 9780134382593

Author: Russell C. Hibbeler

Publisher: PEARSON

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In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

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Chapter 11.2, Problem 12P

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Plot the shear and moment diagrams for the beam.

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Chapter 11 Solutions

Statics and Mechanics of Materials (5th Edition)

Ch. 11.2 - In each case, the beam is subjected to the...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - Prob. 5FP Ch. 11.2 - Prob. 6FP Ch. 11.2 - In each ease, draw the shear and moment diagrams...Ch. 11.2 - Prob. 8FP Ch. 11.2 - Prob. 1P

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Plot the shear and moment diagrams for the beam.

Solution Summary: The author plots the shear and moment diagrams for the beam. Determine the vertical reaction at point B by resolving the horizontal component of forces.

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Plot the shear and moment diagrams for the beam.

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Chapter 11 Solutions